Найдем значения выражения:
15 \(\cdot\) (\(\frac{3}{5}\))^2 \(\cdot\) 1\(\frac{2}{27}\) = 15 \(\cdot\) \(\frac{9}{25}\) \(\cdot\) \(\frac{29}{27}\) = \(\frac{15 \(\cdot\) 9 \(\cdot\) 29}{25 \(\cdot\) 27}\) = \(\frac{1 \(\cdot\) 1 \(\cdot\) 29}{5 \(\cdot\) 3}\) = \(\frac{29}{15}\) = 1\(\frac{14}{15}\)
Ответ: 1\(\frac{14}{15}\)